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What is the Least Common Multiple of 27048 and 27064?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 27048 and 27064 is 91503384.

LCM(27048,27064) = 91503384

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Least Common Multiple of 27048 and 27064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27048 and 27064, than apply into the LCM equation.

GCF(27048,27064) = 8
LCM(27048,27064) = ( 27048 × 27064) / 8
LCM(27048,27064) = 732027072 / 8
LCM(27048,27064) = 91503384

Least Common Multiple (LCM) of 27048 and 27064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27048 and 27064. First we will calculate the prime factors of 27048 and 27064.

Prime Factorization of 27048

Prime factors of 27048 are 2, 3, 7, 23. Prime factorization of 27048 in exponential form is:

27048 = 23 × 31 × 72 × 231

Prime Factorization of 27064

Prime factors of 27064 are 2, 17, 199. Prime factorization of 27064 in exponential form is:

27064 = 23 × 171 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 27048 and 27064.

LCM(27048,27064) = 23 × 31 × 72 × 231 × 171 × 1991
LCM(27048,27064) = 91503384